This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the questions from the image: a) To find the train nearest to midnight, we calculate the time difference from 00:00 (midnight) for each given time. Midnight can be considered 00:00 (start of the day) or 24:00 (end of the day). Mafeking: 14:40. Difference from 24:00 is 24 hours - 14 hours 40 minutes = 9 hours 20 minutes. Gaborone: 19:45. Difference from 24:00 is 24 hours - 19 hours 45 minutes = 4 hours 15 minutes. Gaborone: 19:55. Difference from 24:00 is 24 hours - 19 hours 55 minutes = 4 hours 5 minutes. Francistown: 07:13. Difference from 00:00 is 7 hours 13 minutes. Francistown: 07:23. Difference from 00:00 is 7 hours 23 minutes. Plumtree: 09:55. Difference from 00:00 is 9 hours 55 minutes. Plumtree: 10:05. Difference from 00:00 is 10 hours 5 minutes. Bulawayo: 12:45. Difference from 00:00 is 12 hours 45 minutes. Comparing the differences: Gaborone (19:55) has the smallest difference of 4 hours 5 minutes. Bulawayo (12:45) has a difference of 12 hours 45 minutes. Therefore, the train from Gaborone (19:55) is nearest to midnight. The train nearest to midnight is: Gaborone b) This part of the question is not visible in the image. c) To express 0.275 as a fraction in its lowest term: Step 1: Write the decimal as a fraction. 0.275 = (275)/(1000) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor. Both numbers are divisible by 5. (275 ÷ 5)/(1000 ÷ 5) = (55)/(200) Step 3: Simplify further. Both numbers are still divisible by 5. (55 ÷ 5)/(200 ÷ 5) = (11)/(40) Since 11 is a prime number and 40 is not a multiple of 11, the fraction is in its lowest terms. The fraction in its lowest term is: (11)/(40) That's 2 down. 3 left today — send the next one.